{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Programming Exercise 6 - Support Vector Machines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# %load ../../../standard_import.txt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from scipy.io import loadmat\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "pd.set_option('display.notebook_repr_html', False)\n",
    "pd.set_option('display.max_columns', None)\n",
    "pd.set_option('display.max_rows', 150)\n",
    "pd.set_option('display.max_seq_items', None)\n",
    " \n",
    "#%config InlineBackend.figure_formats = {'pdf',}\n",
    "%matplotlib inline\n",
    "\n",
    "import seaborn as sns\n",
    "sns.set_context('notebook')\n",
    "sns.set_style('white')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plotData(X, y):\n",
    "    pos = (y == 1).ravel()\n",
    "    neg = (y == 0).ravel()\n",
    "    \n",
    "    plt.scatter(X[pos,0], X[pos,1], s=60, c='k', marker='+', linewidths=1)\n",
    "    plt.scatter(X[neg,0], X[neg,1], s=60, c='y', marker='o', linewidths=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_svc(svc, X, y, h=0.02, pad=0.25):\n",
    "    x_min, x_max = X[:, 0].min()-pad, X[:, 0].max()+pad\n",
    "    y_min, y_max = X[:, 1].min()-pad, X[:, 1].max()+pad\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n",
    "    Z = svc.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "    plt.contourf(xx, yy, Z, cmap=plt.cm.Paired, alpha=0.2)\n",
    "\n",
    "    plotData(X, y)\n",
    "    #plt.scatter(X[:,0], X[:,1], s=70, c=y, cmap=mpl.cm.Paired)\n",
    "    # Support vectors indicated in plot by vertical lines\n",
    "    sv = svc.support_vectors_\n",
    "    plt.scatter(sv[:,0], sv[:,1], c='k', marker='|', s=100, linewidths='1')\n",
    "    plt.xlim(x_min, x_max)\n",
    "    plt.ylim(y_min, y_max)\n",
    "    plt.xlabel('X1')\n",
    "    plt.ylabel('X2')\n",
    "    plt.show()\n",
    "    print('Number of support vectors: ', svc.support_.size)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Support Vector Machines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Example Dataset 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['y', '__version__', 'X', '__globals__', '__header__'])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data1 = loadmat('data/ex6data1.mat')\n",
    "data1.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X1: (51, 2)\n",
      "y1: (51, 1)\n"
     ]
    }
   ],
   "source": [
    "y1 = data1['y']\n",
    "X1 = data1['X']\n",
    "\n",
    "print('X1:', X1.shape)\n",
    "print('y1:', y1.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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ua+3atYpGb+jUqVbbjs+Gw2Hl58/776lOg69duSJVVk7VhQudLFuyKcZ0MRaJZl/c5VJT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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6baf9cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotData(X1,y1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TLIZPeprJnAY0UB951IrdSF/U0FLFxSS3p5V7z9GahKem1rbwhSxKt6uRdjGR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\nREREGsZETkREpGH/H6tkxbb6Q0SrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6b78c0b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of support vectors:  12\n"
     ]
    }
   ],
   "source": [
    "clf = SVC(C=1.0, kernel='linear')\n",
    "clf.fit(X1, y1.ravel())\n",
    "plot_svc(clf, X1, y1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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njtNHlD8itplQPDfLcQRrLMrPACRFyaAZ2EsRP2luj9J/NCamrC3cC/5yVS9b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\nACyMRA4AgIWRyAEAsLD/D4Z4/iWEUfFrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6ba89b30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of support vectors:  3\n"
     ]
    }
   ],
   "source": [
    "clf.set_params(C=100)\n",
    "clf.fit(X1, y1.ravel())\n",
    "plot_svc(clf, X1, y1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SVM with Gaussian Kernels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def gaussianKernel(x1, x2, sigma=2):\n",
    "    norm = (x1-x2).T.dot(x1-x2)\n",
    "    return(np.exp(-norm/(2*sigma**2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.32465246735834974"
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x1 = np.array([1, 2, 1])\n",
    "x2 = np.array([0, 4, -1])\n",
    "sigma = 2\n",
    "\n",
    "gaussianKernel(x1, x2, sigma)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Example Dataset 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['y', '__version__', 'X', '__globals__', '__header__'])"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data2 = loadmat('data/ex6data2.mat')\n",
    "data2.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X2: (863, 2)\n",
      "y2: (863, 1)\n"
     ]
    }
   ],
   "source": [
    "y2 = data2['y']\n",
    "X2 = data2['X']\n",
    "\n",
    "print('X2:', X2.shape)\n",
    "print('y2:', y2.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bzmXPUTv5qImj5pdizM3NFdxFsef36OGBnj0j4eZ2yWIhkJFRgW+/3Yjnn38a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W0U4803X8PJk1uxZQuweLG4R/2Pf9h692VlJuzd+xecPbsTxcW1WLHiEZYuvW/XNL+cDr0n4ywd\n+eYONdbNBEe92+Y2xS0E39vZvHku6utrkZ7uYzHAvr7AtGlAt24BaN/+WbzyymeYMOEF7N69G336\neKGkpMFTq621XwxF6n7k5OQoMshC+wn9rJbr16+jvp5g5kxYSWyyAiVDhjQIlHD/xn9hYddyJ0yY\ngHbtvPHll0wa1jvvmPHFFybodJcBmBAWFibaFjViNuxau1BcAdejJgTYto2ZReEWapkwYQK2b9/m\ncJEWpTr0Umg1myWlcqfkc7m/UVSgOiRNA2g0uPtReuvt6SJyEaNu6nYOIxbhHB7uQwwGb6tI3pSU\nJPLFF1+QhIQhpF+/AJt9evdmhD6cFfXLvcZS19ue7cRg05wMBh3p1w8kOpoRA3n8cZD+/ZkUqm7d\nQJ56yra8pVhEvFwKl1SUNYvS1CglEehz5jDn1KKFFxk0KNAqcvvTTz8lPXr4k6yshshxewROnCGU\ngl8j+qEy4p9/38X6gVQ/Ejt2c4RGg1M0Q4s3crlpsMbopUt5O7m5dfD21iEp6T2kpa3EhAkvYOvW\nrVi+PA2lpQetBFLYffLygJs3gcOHj7u1yIfYvbCnH7BTt5s2mbFsGfC//wts2QK0bw/U1wMbNwKf\nfgrcuaNDYqJOsCoZHy2qlMlVQlMKIcDWrT5ITk7GpUv/RUbGaqSnf46zZy+ivr4ef/zjTAQGPrJo\ngrOzJ56Cs5aj2P3E+gp3G4r9uLcMEMXj4CsN2atcpfT4jYUGo2Fb8ok1Gq1atUJp6V6Ul+/8dX2x\nBj4+DRHg1dUNylrh4UBkpD9Onz4tOY2rBXJT5mKfq+kH7MsMX4mrZUtG65tRDAMePABu3fLGDz8c\nQ3l5OQAgLCwM5eXl2LZtm6DKmaOw0+lZWXkW1TEhxbi4uDikpjJT5kJqYseOAUlJf0BBwVr4+vpa\n1MjS01+2vKRwVetycoAPP2SC4NTEJci1w5XFXpSQ86uqIds/hNTvKI5DPetmilberVrD21iDT27f\nvo1r18w4cMA2QIy7jZD3XVvLeFn8akyXLz9CrUaul1xQmdB90jJKX84DZoOy2PX5Xr16Yfz48Sgt\n3YuYmCjRiGctq5SJVULj/l2syEpurh7Jycn48583Ws2CSM245OQA+/YBS5YAeXkBquISYmJikJur\n16zYi9LnXa5P8H8XyypoDtkfLkezyXgV0DXrxoNcF4HKtTA3dTm7aZCb1JO+fRuKQ4wbxxSd4K6d\nFhQUWK01btvGbDtiBKOuxV8z7dULZPr0ZKe0W+w6qy3SoORvhMivs0ZFgfj7+1qtz4urnFmvJbtS\njlOtmpjcecfEMIVEwsO7y8YlcKVNBw0KJCEhOqLXg0RH61Srmikt9CIH/76L9QPIrFk3tufeWdA1\na4rTUPJGLrUW1tiLeTSk0Jjw/vtMOg83lYfr7bRq1cpq37ZtgcGDGe8qKws23vbw4cCmTUU4ffq0\npm0W86IB+2c2uP1ASKhDzgM+e1aHY8dOWNbn1UQ8a7XmrASumlhi4rsID0/Be+99jKysPLviCry8\ngEmTgIsXL6NabErmV7jpWosW/YL16834/HPg5k0v+Pv3U6VqpuQ+O+u5bIwxKY0Cbd8blEE966aD\nUBcC7y1b6p8nR4nKRSL7+YEYDHqLtyO0/fz5TFQ0+/vevYxXbjAwOuL9+oEYDDq7inmIAQFPhv1d\n6pGXGw64nt/gwYFkwAB/YjDoyLRpicRkMqnygO2JeOYX+3AWSsqcctukpOCIXAS3FlHvXLQa2sX6\nkZrvE+qPzRXqWVNchj3rnKSRCqLw12GrqxlRjgMHGM84MtIfH3zwicXbEVrz9PYGuMJlK1YwXvmm\nTUxE+LJlwKZNZs3FLuzxbuT2YTy/TSgsrEFu7i9YvPiRpe0RET3w9NOD0Lr1M0hM1DvFA5Zbc9YK\nNYIk7D0XWl/Oy2vIxZZDi6h3Z8DvE+zvcuNAXFyc1d/4f/fk595Tocaaogol6R9NbRpMLECssrIO\nBoPBalv+lO3evQYcPcoM3tXVjLAGf0pcrWgGFzmRCnZQBSD7ciU1gDZMW1unobVoAXTpApw/fxGf\nfjoDNTVH4e0NBAREIS1tpejUrZaBY1pijyBJfv4K9OnzIl58kRF9WbCAiX7v3JkpHOKK89EyWJB/\nXLHPuWMAYD0OlJSUCI4T7P/UWKuHGmuKprBpHFKRoY0F1qDk51t7w6wEZcuWZhw48DerffgVlGbO\nXIOkpCQsWdIChw8z8pRaeE/cNWi5SHAhpCpwCVFSUoKICJ3NLMO8eUBlJZNP/b//W/urF2rCrVtH\ncPhwqagHLBV5bW/EsxbY4+HqdDr8+c+FSExMhNGoR//+TE55ZiZw/76y83H05YVrPNmXZUdmsMS2\nb6zZHE0BaqwpmsIOGoBwkYDG5HUHBwfjhRdeEAwQa9mSScnZsmWLoDfMnbItKFiLfv2SsHy5L2ps\n07TtQs2gyR282f/t8Wzq6mqtZhkOHADq6pgKWuvWNQiAKJ0pcGXgmCtYtWodhg+fioICP+Tnqzsf\nLV9etDCo1Ch7IKpXuTWABpg1brhBYWIBYlAQ0NQYKCwsJE8/rdNE+vHUqVPEYNBpEkQkdX2lPrP3\nflRVVRGDQSeahhYVxQTO2XNtXBU4pgQtAr3sPR+1aWNiQIOALrH9oTJV0x6J06aM0wPMDh06hOHD\nhyMhIQGrVq0S3e7kyZMICwvDt99+q/adgdKI4NfGbcr4+vpqUs0JAHr16oWpU6c65D2pWYMWwt6Z\njeDgYIwcOVJ0lkGudKTcsV0ROKa0LY56uPaeD38Jha3JbY8crZaiR/wlFu7zLzfl7iyJ02aJnDWv\nq6sjw4YNI5WVlcRkMpHRo0eTCxcuCG43ZcoUkpaWRvbs2eO0twuK+xHqNk31DVrrlBp7vSdHhWe0\nuP6FhYUkKspLstBFVpb918ZT0MrDdRVaPHtKjyHUtxSYEbu2bYo4Yvu8CJEWfj5x4gSWL1+O1atX\nA4DFs05LS7Pabv369dDpdDh16hSGDBmC+Ph40WNWVlZi6NCh2L9/Px5//HGZ1wmKp6FEL1xrTXF3\nkpGRimPHNllFCLOeFrMWLT7bJIbRaJTUqZaDvb5C19lZ+uvFxcVYuTIVOTn3BP++YAHw7LNAVJRj\n18ZTcPQeuQstnj2xYwh9rub7mtK4YA+O2D7ZaXCj0YiOHTtafg8ODrYJGjEajdi3bx8SWbV+SpPC\nWWkhjQVnBEI5c+rXWfdDLmL52DFg715Dow4S4+JJ0/OejJop98YUYOppaFJ1a+nSpZg7d67l9+b8\n5tQUUVuBqamhtGqTO3Dl4Newnms7y7B4cQCGDOmPadPSPObaULRHqL+peTls6i/2zkTWWAcHB+Pq\n1auW341Go82DePr0acyaNQuEENy6dQuHDh2Cr68vhg4dqn2LKY2CpvgGzXpangBXScqV5OevwKxZ\nXkhO3oCICD0AJgd4ypRk5OevcFtdbkoDWjx7UnXOKe5Bds26rq4Ow4cPx7p169C+fXu8+OKL+OCD\nDxAaGiq4/dtvv03XrJs4zc2zptjSWNdzKRR34ojtk30N9vHxQVZWFqZPnw5CCCZMmIDQ0FAUFRXB\ny8vLYzwNiutoil4zRR2eNMtAoTQHZD1rZ0A9awqFQqE0N5waDU6hUCgUCsW9UGNNoVAoFIqHQ401\nhUKhUCgeDjXWFAqFQqF4ONRYUygUCoXi4VBjTaFQKBSKh0ONNYVCoVAoHg411hQKhUKheDjUWFMo\nFAqF4uFQY02hUCgUiodDjTWFQqFQKB4ONdYUCoVCoXg41FhTKBQKheLhUGNNoVAoFIqHQ401hUKh\nUCgeDjXWFAqFQqF4ONRYUygUCoXi4VBjTaFQKBSKh0ONNYVCoVAoHg411hQKhUKheDjUWFMoFAqF\n4uFQY02hUCgUiodDjTWFQqFQKB4ONdYUCoVCoXg41FhTKBQKheLhUGNNoVAoFIqHQ401hUKhUCge\nDjXWFAqFQqF4ONRYUygUCoXi4Sgy1ocOHcLw4cORkJCAVatW2fx9//79GD16NMaOHYvx48fj8OHD\nmjeUQqFQKJTmiq/cBvX19cjLy8O6devQoUMHTJgwAUOHDkVoaKhlm5iYGAwdOhQA8PPPP+P111/H\n3r17nddqCoVCoVCaEbKe9cmTJ9GlSxd06tQJOp0OI0aMwP79+622CQgIsPz84MEDtGnTRvuWUigU\nCoXSTJH1rI1GIzp27Gj5PTg4GKdOnbLZbt++fXj//fdx48YNrFmzRttWUigUCoXSjJE11koZNmwY\nhg0bhmPHjmHu3LnYs2eP6LZ1dXUAgKqqKq2+nkKhUCgUj4a1eawNVIOssQ4ODsbVq1ctvxuNRnTo\n0EF0+6ioKNTV1eHWrVui0+HXr18HACQlJaltL4VCoVAojZrr16+jS5cuqvaRNdZPPfUUKioq8J//\n/Aft27fH7t278cEHH1htU1FRgZCQEABAeXk5AEiuW/fq1QtffPEF2rdvDx8fH1UNplAoFAqlMVJX\nV4fr16+jV69eqveVNdY+Pj7IysrC9OnTQQjBhAkTEBoaiqKiInh5eWHSpEnYs2cPdu3aBZ1Oh4CA\nAHz44YeSx/T390dUVJTqxlIoFAqF0phR61GzeBFCiMZtoVAoFAqFoiFUwYxCoVAoFA+HGmsKhUKh\nUDwcaqwpFAqFQvFwXGas79y5g+nTpyMhIQEzZszAvXv3bLapqqrClClTMGLECIwaNQobNmxwVfOc\nhpyuOgAsXrwY8fHxGDNmDM6ePeviFjoPuXP/+uuvMXr0aIwePRp/+MMf8PPPP7uhlc5Dyb0HGJXA\nsLAwfPvtty5snfNRcv5HjhzB2LFjMXLkSEyePNnFLXQucud/69YtvPzyyxgzZgxGjRqF7du3u6GV\nzmHevHmIiYnBqFGjRLdpquMeIH/+do19xEUsW7aMrFq1ihBCSEFBAXn33Xdttrl27Ro5c+YMIYSQ\nX375hcTHx5MLFy64qomaU1dXR4YNG0YqKyuJyWQio0ePtjmfkpISkpqaSggh5MSJE+TFF190R1M1\nR8m5l5WVkbt37xJCCCktLW0y506IsvNnt5syZQpJS0sje/bscUNLnYOS87979y55/vnnSVVVFSGE\nkJs3b7qjqU5Byfl/8skn5L333iOEMOceHR1NzGazO5qrOUePHiVnzpwhI0eOFPx7Ux33WOTO356x\nz2We9f79+zFu3DgAwLhx47Bv3z6bbdq3b48ePXoAAAwGA0JDQ3Ht2jVXNVFzlOiq79+/H2PHjgUA\n9OnTB/fu3cONGzfc0VxNUXLu4eHhCAoKsvxsNBrd0VSnoOT8AWDjxo1ISEhA27Zt3dBK56Hk/L/+\n+mvEx8cjODgYAJrUNVBy/u3atcP9+/cBAPfv30fr1q3h66uZqKRbiYqKQsuWLUX/3lTHPRa587dn\n7HOZsa6urka7du0AMEa5urpacvvKykqcO3cOvXv3dkXznIKQrjr/5ePatWt47LHHrLZpCkZLyblz\n2bJlCwYPHuyKprkEJedvNBqxb98+JCYmurp5TkfJ+V++fBl37tzB5MmT8cILL2Dnzp2ubqbTUHL+\nEydOxPnz5zFw4ECMGTMG8+bNc3Uz3UZTHffsQenYp+lrXEpKiuDb0cyZM20+8/LyEj3O/fv3kZmZ\niXnz5sFgMGjZRIoH8sMPP2D79u3YtGmTu5viUpYuXYq5c+dafifNTPKgrq4OZ86cwfr16/HgwQO8\n9NJLiIiIsFs0orFRUFCAJ598Ehs3bkRFRQVSUlLw1Vdf0TGvGaFm7NPUWK9du1b0b7/5zW9w48YN\ntGvXDtevXxed8qqtrUVmZibGjBmDYcOGadk8l6NEV71Dhw5WBU2qqqos04KNGaWa8ufOncPChQux\nevVqtGrVypVNdCpKzv/06dOYNWsWCCG4desWDh06BF9fX0tt+MaMkvMPDg5GmzZt4OfnBz8/P0RF\nReHcuXNNwlgrOf8ff/wRr776KgAgJCQEjz/+OC5duoSnnnrKpW11B0113FOD2nf3kngAAAHNSURB\nVLHPZdPgzz77rCXacceOHaID0rx589C1a1dMnTrVVU1zGlxddZPJhN27d9uc99ChQy3TfydOnEDL\nli0tywWNGSXnfvXqVWRmZmLZsmUWbfmmgpLz379/P/bv348DBw5g+PDhyM7ObhKGGlDe948fP466\nujo8fPgQJ0+eRGhoqJtarC1Kzj80NBSHDx8GANy4cQOXL19G586d3dFcpyA1U9RUxz0uUudvz9jn\nsmiG1NRUzJw5E9u2bUOnTp2Qn58PgFm7yMrKQkFBAY4fP46vv/4a3bp1w9ixY+Hl5YVZs2Y12rVM\nJbrqsbGxKC0txXPPPYeAgAD86U9/cnezNUHJua9YsQJ37txBbm4uCCHw9fXF1q1b3d10TVBy/k0Z\nJecfGhqKgQMHYvTo0fD29sbEiRPRtWtXdzddE5Scf1paGubNm4fRo0eDEIK5c+eidevW7m66Jrz1\n1ls4cuQIbt++jbi4OLzxxhswm81NftxjkTt/e8Y+qg1OoVAoFIqHQxXMKBQKhULxcKixplAoFArF\nw6HGmkKhUCgUD4caawqFQqFQPBxqrCkUCoVC8XCosaZQKBQKxcOhxppCoVAoFA+HGmsKhUKhUDyc\n/wf2WOysPs8cSgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6bad3090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotData(X2, y2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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3N9M45euE+2HK2GE4e2IlEhbnwhDLisQI/fkFpW4Vf+tD/NnCuTOcbj9q3GTr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aNHgU8/NSAzUy/azubsosRb3Xo+k/1lp03YYJ8P9nkva8eBo6vaaa3EhJgIm2slHNnZwIellsXL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\nRQ4AgMX+CY2QA8kzK93wAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6bad54b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of support vectors:  254\n"
     ]
    }
   ],
   "source": [
    "clf2 = SVC(C=50, kernel='rbf', gamma=6)\n",
    "clf2.fit(X2, y2.ravel())\n",
    "plot_svc(clf2, X2, y2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Example Dataset 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['Xval', 'y', 'yval', '__version__', 'X', '__globals__', '__header__'])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data3 = loadmat('data/ex6data3.mat')\n",
    "data3.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X3: (211, 2)\n",
      "y3: (211, 1)\n"
     ]
    }
   ],
   "source": [
    "y3 = data3['y']\n",
    "X3 = data3['X']\n",
    "\n",
    "print('X3:', X3.shape)\n",
    "print('y3:', y3.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cCKfbnJCQgKqqKgCxi3Lo2RFvx+Eizc3NeP75PFRWVuKee1pTu/btC2POnDko\nLV2DxMRETa/T+X2Z3Vlux870CCc+P3a+Pze2x63Mxj0GdJLK6eBohFN56JFg+M477+D++30AjAXD\nrtiVUiTrocGNn5sIN7ed1MK0NSKTtARzKwJ+pCjHhx9Cet1tO1KKnDyRjIiiMaCTKVo3eLl9N7bs\nXHEvBMN4zUN2U5YExRcGdDJF645xFU4/U4nVwVD1lCI3B0WnsyTsJvtsdbIOAzp5Br94rrIjpcjM\nQ0O8BUU3svpsdZKPAZ1cz4ovHqtHkHaMoK0+nUrFPGTZD3Xx/JBo5Gz1eO4vJRhKdrMB89DdKZKT\nGwgEBIBuf8nM3c3Lmy/Gjr1WbN4MsXNn66/NmyHGjr1WFBTkSrmHFf9U8vMXWN5uITrmiIdCIWmv\nK4S8PGSz/Ss7517P67mx9kIs9fX1wudL6vDZbP8Z9fmSOnyW7Kx5EKvdMuohOMVs3GNAJ8P0fJFZ\n9eyo94vHKCva75WiHPX19eLNN98UhYWF4s033zTU32aDouyHOjseElVWVVUl0tN9Uf+mIr/S0nyi\nqqqq7Xqn+0uVBwqzzMY9TrmTYSpsdHPzTutYtbtV136p44MPXsKXX67DSy89j5KSV3UvdZhZwpCd\nMeCFDAQ7qdBfRpYHvIgBnUgDK+uf21F32wqqfInKfqhz80OiLHr2eDjdXyo8UKiCAZ1sYVVAtCs9\ny+wmODsOfLETv0S9TcUNj91x+oFCJQzopJmZnd9WBRy3fPFYvTxh9/KHSl+ish/qZLyeF3Z7a82S\nkN3/Xug7p5gK6OfOncO8efOQmZmJ+fPno7GxMeqa+vp65OTkICsrC48++igqKirM3JIcpGrusNXp\nWaQ22Q91Zl7PS7nbWvd4yOp/o32nehElW5nZkbdy5UpRXl4uhBCirKxM/PznP4+6pqGhQRw+fFgI\nIcSFCxfE5MmTxdGjR2O+Nne5q8/kx0c6K9OzzLK6r+z+b2FXdoFWsjMGjL6e07u9nSKj//X2Xft/\n7z/5ydOe6HdH09YyMzPF6dOnhRCtgTszMzPmz+Tl5Yk9e/bEvI4BXX2qBXQ7aE2vMpKHryd1y848\n/+7YlUevh+yHOj2vZ9VDjptyq432v56+6y5FbeTIH4rrruvr6hRQRwP6mDFjevx9Z8ePHxcTJkwQ\nFy5ciPnaDOjq82JBjViMPsRo+TkzD0hOPFx5IY9eZrDUm7sdi1W51So+IOjpu55G8nPnzlJ2lk4L\ns3EvZrL05JxNAAAb5UlEQVTr3LlzcebMmag/X7RoUdSfRTZKdeXixYsoLCzE4sWL0a9fv1i3JRdg\nve34FlljLS5eil27dgEAJkyYoMQmxFgiZ9FXVlbinnv6AgByc+WcRS9L+7TA/v2bAETWpdejqChB\n81nzEW54z7FEsita++Tqn0eyK2bP/ghvvLHKFZ9BK8QM6OvWrev272666SacOXMGycnJOH36NAYM\nGNDldZcvX0ZhYSGmTZuGSZMmGW8tESknkkfvJrKDJdC6OSs3t3VzVufd/3o3Z8UOXBVYsmSZrsBl\nxXvWIhQKtT3wjR8/Hn6/P+oarX23c+fOv2dXNEW9RvvsCrd9HmUxtct94sSJ2LhxIwBg06ZNyMjI\n6PK6xYsX49Zbb8Uzzzxj5nZEtpN1SEt6erplrw3Iy/OPh5Qhq3LoZe62l50W6ETdAD271t2Sfqo6\nUwE9NzcXe/bsQWZmJmpra7Fw4UIAQENDA5599lkAwN69e7FlyxbU1tZi+vTpyM7ORk1NjfmWE9lA\nVqre7t27LXvtyGuZ4aV0q1iszKFXNYXSiboBeisJauk7pqj1zFTB6BtuuAHvvvtu1J8PGjQIZWVl\nAIB7770XX331lZnbEJHFnJiODQaDntuHIWtfgczpeycYWTLQ0ndXR/LrO8w2XB3Jz4rrkTwrxRHF\nOafKuDp1uI8dozyz9fllT0HbPbI1MyMQq+9UnQVRAQM6kQ5a16qNrI9beQBMT1Qq42oHt6zXygxc\nbnnPWrj9lEIrJYjI4p1iTpw4gYyMDFRXV2PYsGFON4fIlISEBFj5T03LTuLubNiwAWvX5iIYjC7d\nDACBgA/5+W9J3zlsdZ/0pLm5GUVFBaioqMCoUa0pXPv3h5GTk4PS0jVKBYb2/23NpAXa+Z5DoRBu\nu2141JQ70PoQMXt2Eo4ePeaahwi7mI17DOhENrAqeHWVW7xvn77cYru+fIPBYI/T7IFAwJFT42Tm\n0Jt5sLKL7PfcnYKCXNTVdb3WPWbMLMvS5NyMAZ3IBawK6Pn5C7B37wemvzSd+PJ1coQum4wHK69x\n0yyIKhjQiVzAih3dMkfWTnz5eimgy3qwcgs9MxF2zQh4AQM6UZyyYu3bzi9frwT0eFov5kyEtczG\nPc55EFEbO8u4OrWrX7arWQLeL0fqVPlY0oZpa0Qu5faqWV4rKuN1TtUrIO0Y0Im6oXrA8VJusWx2\n1qR3+4OVVl6pV+Dl8woY0Im64VQlMz3srppl15eh0fs4UZOeD1bucOLECUyePBE/+MEw/Pu/z/fm\neQWGTlG3gdmD3onMUvifR5T6+npRVVUlqqqqRCgUkv764XBY5OXNFz5fkkhP94n0dJ/w+ZJEfv4C\nEQ6HlblPXt58MXbstWLzZoidO1t/bd4MMXbstaKgIFdaO7tqd0FBrvD5kkRamk+kpbW2u6AgVzQ3\nN1t2XzvV19cLny+pQ9+272OfL8mSz55Zkc/UNdf0EqNHQzzwAES/fhDZ2RAff2z9Z0MPs3GPu9yJ\nutHdLmw3FA+Rza60LDP3UWG3uddTtIzWK3Dy30x+/gLU1a3Ha69916HNS5cCN98M/OQn6mQimI17\nnHIn+rtY9deLi4sNTec6vWZn9v52bYYyex8V1njNHsqiOr1LPE4fyxv5TLUP5kDr56G4GNi+HWhp\ncc/6fywM6ER/F+t88v/5n//Wdb6z019msu5vV6BUISBTz/QejKL3THTZYn2mRo4E9u+3vBm2YR46\nkQZGznd2OmfX6fvbze1niBvlxHS2lnoFRv7NOOG777zz2eAInUgDvaNHp3N2Zd5/xIgRqKu7ZHla\nltn0r3jbbe70DFAsKsy4xPpMHTgAVFdf45nPBgM6UTfMVDJz+stMxv0jAWPcuNG46abWNUcrA6WM\ngGx3Gp+TnJ7OdoOePlPFxQDQC+PGzfbMZ4NT7kTdaF9YJh6nc9sHjGuvBdasAZ5+GrjjDqBXr0R8\n9VUv5OTIDZSlpWtQVJSA2bM7HxKj7T6RNd7i4qXK7Da3YkrcDdPZqvyb6fyZEkJg374m/NM//RN+\n+9v38P3vf9/yNtiFaWtEGulJ2XE6hcrs/bv7+bNngd/9Dli9ug/q6g5gxIgRlrVflYBslJUHmVhx\nMI8VVDoT3Q2fKR7OQmQTPaPHq1N9XX+Z5eTMsvQLxez9uztwZMAAICsL+K//ugaHDh2yLKDbeUiM\nVeJtU2JXzM64yOSFz1QsDOgUd4yeTa53OtfpLzOn7x/PrJ4SlzGdbcfueBWXQLyMU+4Ud+w+h9vp\nqT4j93d6ycDt7JgSNzqdzTPN1cUpdyLFOT3VZ+T+Ti8ZUGxGZ2C4FOBdHKFT3LF7hO5Wzc3NKCoq\nQEVF54CRg9LSNV1WBqNWds5w6JmBUXHmJR7PRugOa7kTxRCrRrvq5547RW+ZT6s4XQvfCDuL3Oip\nH+90fYT2VC+M40Z8xCZX0rOxrfO1qo/QVRuxOLVk0NVab26u9Wu9svqfmxJ7xql/+TjlTq5kJiir\nGtC5Wakju45sjbCq/53eFNm5LSpMuavSDtVwUxyRR3DEcpXstC8to26r+t/pTZHtqbLZsbs6B0DH\nqX9V+s0tTK2hnzt3DvPmzUNmZibmz5+PxsauUzQA4MqVK8jOzsZzzz1n5pZEppmp0W7VervTh7mo\nRtZar9Z12njq/3iqdx9vTAX08vJy3H///di2bRvuu+8+lJWVdXttRUUFUlJSzNyO4pjMjW1mgnJJ\nSYnhn+2JSpuVvETrASbx1P8qbHY0e7JeZ27cOGkFUwG9uroa2dnZAIDs7Gzs2LGjy+vq6+uxe/du\nPPHEE2ZuR3EsGAxCCNH2C0CH33OnupqMftHK+MKPp1G3EXp2x1txbxlZANwp35GpgH727FkkJycD\nAAYOHIizZ892ed2KFSvw8ssvt42siKgj2SMWp5n9opXxha9n1O10/8fjCFPG1D+PkO0oZkCfO3cu\nHn300ahf1dXVUdd2FbB37dqF5ORk3HHHHUruLCbqiV057HbmLdtBxhetnWu9TvV/PI8wzU79cwYm\nmqm0tYcffhjvvfcekpOTcfr0aeTk5OC3v/1th2tWrVqFTz/9FL1790ZTUxMuXryIhx56CCtXruzx\ntZm2Rj0xesCKWVamvNlVmc3qPHfZKUlG0770tqOr/t+7twkPPPAgnnlmPjIyMqT3ld2peV7iliNk\n9XC0UtzEiROxceNGAMCmTZuQkZERdc3PfvYz7Nq1C9XV1Vi1ahXuu+++mMGcKBYvrplbtVkpMp37\n/vvv4yc/mWX5aFD2BjOja716R93t+3/hwrW45prR6NULaGr6vygvf056Xzk9wozHaX6vM/XIn5ub\ni0WLFuHjjz/G0KFDUVpaCgBoaGhAcXFxj7veiahrsvKWOxdKuXTpEg4caMakScCiRU3o08f7ee5G\nqrX5/X588cVOfPvt71FZGUb//mEA8vvKqVxspyrwySbjCFmvMTVCv+GGG/Duu+9i27Zt+OUvf4n+\nf+/VQYMGdRnMx44dizfffNPMLYks19Po30gOu1OzCZ3Xsd94oxm/+hUQCgFr/h7LrBgNOr3BrD0j\nsx5Oj5yt5pWNZF7bdyIDD2ch6qSnXHMjwdmq3PWe9BSUiouB7duBb7+9+mcy86xV/KJV8QATJx58\nvPawwiI5HbH0K5ECZG9UizWdO3IksH8/MHGiqdt0iweTxOZEGVavlVyNzMAUFy9Vpl6+kxjQiRyk\nwnqmFaNBN3/R2rk2G+8PPrIeZFWql+8kTrlT3JOda67n9axaz4w1nXvgADBqlPXT4E5WIzPKziUD\nu8uwqrK/IZ7z763E41OJOpGda97d61l9hGRBQS7q6qKnc199FTh/PhE/+MH3LMlzd6v2o8UHHngA\nb7zxelRNgBkzZmDSpP+D3r17K3FWvRHdfS7szH1n/n3XeHwqUQ+cKkCjhdXrmd1N57YPSm6ZBrdS\nT8sehw8fxRdffIHLly/js89+g48++gjffPNph2vclOoFOD/NL/toXLqKAZ08raSkRNmAbjVZ69hW\nV5ZzWk/noL/xRmvOeX7+Anz11SeeOKve6f0NXtuYpxKuoRN1Yua8dD2vZ9d6ptF1bLeuc+qpgKYl\njevQoUOoqHgPaWl/Q10dEDmDyq2pXhFu3N9APWNAJ+pE9oi+u9dTMV+7PbcVIDHyAKIl53zWrJlo\naQmjthbYuRPIyQF+8Qvg8mXvnZVuB1U25nkRAzp5il2no8miamEMNxYgseIB5NKl73D+/J+wYQOw\ndGnrr/XrgePHr1bbI31Uf5B1M+5yJ0+z8nQ0mYyeKGYVlU6y0rKGbzRjINbPPfEE8NZbwC23RP/d\n00+3BvWf/tRcNkI8sutkQbdx9LQ1IpKD65nR9EyhGy3X2tNosaSkLwYPTowK5mfPAnV1wNChwJIl\niRxRGmB3/n28YM+R7VROJaNWVlZL07prvqfd5zJ3lneXxvXAAw/guuv+C0Drw8Ply60j8u3bW4vy\n9O8PHDp0GS0tLWhubu4ydc0NGQJOtpEV3uTilDvZzs5pcD48GCe7AElX+d779nWdy613Cl1GkZ7O\nyx5CiA6v+YtftK6dFxcjZn/oea9OcUMb4w0LyxD1QEswNxv03TAKM0J2ARI9I269ucoyDjrparQY\nec2Cgr9h+/bWDXFaiqHImF2w+nNl1wwI2Ydr6BT3jB5v6tY8ba1krnPasWveioyByGs++2wf3Hln\n9PJD5D20X6M3+17t+Fy5MYuBYmNAJ8u5LZVMK7flaRslY8Oe3k1rRnKVu3sAKS5eio8//lhToZnO\nIq9ZWroafft+z5L32pkdnyu7znwnezGgk+WCwSCEEG2/AHT4vRsDupdGOHoqq9nFTK5y5AHkscce\nQzC4WMpId/r06Th4UFheDMVLnyuyHwM6xR0ZMwZeGOHYuWRgZMRtdgpd5khXzwOGmUpodn2uWK3N\nmxjQKe54ccbACDuXDIyMuM2s4Vsx0tX6gOGGSmhuaCPpx7Q1sp1qqWRG0uisPss8cg+rdjnb0f7O\nZFYHi9U3Vla601LVz+h7tfO/C6u1qYeV4sh1VArmRlk5wrFjKtyJJQMZu+ZVyCzQskkw8l737KnD\nyJFzMXLkXOzZUxfzvdo5cma1Nu/hfzWKe0aPS5Wdpx3h9fxgM9XBtPaNlZXutOiqaMu4cWWairZY\n9bnqDqu1eQen3IlMknmwil1Trk5MuZult82yK93pkZ+/AHv3fmDq3qod2EPW45Q7kcNkHqxi11S4\nGzdFxeqbW29twuzZT7VNvTt1NK2sDXk8sIf04pQ7UZyye2rXatdcA3zzzRcoKirA6tXlbWvExcVL\nbR3p6i1bSyQLAzqRQuxc+01MTERx8VKkpt6Lw4cP484778SHH2YrOxqM1TdffgmsWRPGT3/asa46\n14gpXnDKnUghdk2Ft98t/sEHL+HLL9fhpZeeR0nJq8rWoY/0TUlJ36i+WboUmDwZuOUW54v6sGgL\nOYUjdCLF2DEV7tad9KWlazB16jd48snPMXp0658dONAazAsUKZ8v4+Q3IiO4y51IUVbtcnbjDvf2\nQqEQUlJuQV5eGNdcA4waBdx4Y+vfqdJ+Fm0hIxw9D/3cuXMoKirCyZMnMWzYMJSWlsLn80Vd19jY\niFdffRVff/01evXqhRUrVuDuu+82c2siz7Nq7dfpTVtmK+D5/X4880wOamrUHQE7tSGP4pupgF5e\nXo77778fubm5KC8vR1lZGV588cWo65YvX4709HT84he/wOXLl3Hp0iUztyVSkpWlWr2gq2Irublh\nTcVWOnPLDn1uyCM7mdoUV11djezsbABAdnY2duzYEXXNhQsXUFdXh8cffxwA0KdPH1x33XVmbkuk\nFBXKkerh1KYtmYfBsGwpUTRTAf3s2bNITk4GAAwcOBBnz56NuubEiRO48cYb8corryA7OxvFxcUc\noZOn2HlqmQxOFJWx6pxvFl8huirmo+zcuXNx5syZqD9ftGhR1J9FzpZu7/Llyzh8+DCWLFmC1NRU\nLF++HOXl5SgsLDTYZCJ1RAJV5w1mkUA1e3bHnGhV2D1l7fS6PVE8iBnQ161b1+3f3XTTTThz5gyS\nk5Nx+vRpDBgwIOqawYMHY/DgwUhNTQUAZGZm4u233zbRZCJjrDi21a2Bipu2iLzH1JT7xIkTsXHj\nRgDApk2bkJGREXVNcnIyhgwZgr/85S8AgNraWqSkpJi5LZEhJSUlTjdBOXZNWbPYCpH1TAX03Nxc\n7NmzB5mZmaitrcXChQsBAA0NDXj22Wfbrnvttdfw4osvYtq0aThy5Aiee+45c60mUgQDlTZuPAyG\nyG1YWIbiRkJCAqz4uDt5TKebqFBsxY2phW5sMxljOu4JRR0/flzcfvvt4vjx4043hVwqEAgIAN3+\nCgQCUu4TDodFQUGu8PmSRFqaT6Sl+YTPlyQKCnJFc3OzlHt4SX19vaiqqhJVVVUiFArZcs9wOCzy\n8uYLny9JpKf7RHp663+j/PwFIhwO29IGvdzYZjLHbNzjCJ3ihlUj9AirSrWSefn5C7B37weumkVx\nY5vJHLNxjwGd4obVAZ3UZEftetnT4m6vt0/GmI17PD6ViDztamph9N+1Ty00wqoqgVa2mbyLNRIp\nbgQCAaebQB7j1mNoyZs4Qqe4IbuoDLmDVamFVpWztbLN5G0M6ETkaVblwFs5Lc68fTKCU+5E5Hlu\nOW61PTe2mZzFXe5EFDdkphbatROd6ZDxw2zc4widiOJGpHa9rNdqnRbvukpgTs4sKcFXZpvJ2xjQ\niYgM4rQ4qYQBnYjIIB5DSyphQCciMonT4qQCpq0RERF5AAM6ERGRBzCgExEReQADOhERkQcwoBMR\nEXkAAzoREZEHMKATERF5AAM6ERGRBzCgExEReQADOhERkQcwoBMREXkAAzoREZEHMKATERF5AAM6\nERGRBzCgExEReQADOhERkQf0MfPD586dQ1FREU6ePIlhw4ahtLQUPp8v6rqysjJ8+umn6NWrF26/\n/Xb867/+K/r27Wvm1kRERNSOqRF6eXk57r//fmzbtg333XcfysrKoq45efIkfvWrX2HTpk3YsmUL\nWlpa8Jvf/MbMbYmIiKgTUwG9uroa2dnZAIDs7Gzs2LEj6prrrrsOiYmJ+O6773D58mVcunQJgwYN\nMnNbIiIi6sTUlPvZs2eRnJwMABg4cCDOnj0bdc3111+PefPmYfz48bjmmmvwwAMPYNy4cWZuS0RE\nRJ3EDOhz587FmTNnov580aJFUX+WkJAQ9WfHjx/Hu+++i507d8Ln86GwsBBbtmzBo48+2uN9W1pa\nAAD19fWxmkhEROR6kXgXiX96xQzo69at6/bvbrrpJpw5cwbJyck4ffo0BgwYEHXNH/7wB9xzzz24\n4YYbAAAPPfQQ9u/fHzOgnz59GgAwa9asWE0kIiLyjNOnT2P48OG6f87UlPvEiROxceNGLFy4EJs2\nbUJGRkbUNf/wD/+AtWvXoqmpCX379kVtbS1SU1NjvvZdd92F999/HwMHDkTv3r3NNJOIiEh5LS0t\nOH36NO666y5DP58ghBBGb/6///u/WLRoEf77v/8bQ4cORWlpKfr374+GhgYUFxe37Xp/++23sWnT\nJvTq1Qt33nknli1bhsTERKO3JSIiok5MBXQiIiJSAyvFEREReQADOhERkQcwoBMREXmAMgH93Llz\nmDdvHjIzMzF//nw0NjZ2eV1ZWRmysrLw6KOP4oUXXkA4HLa5pc7T2leNjY0oLCzEww8/jKysLHz5\n5Zc2t9RZWvsJAK5cuYLs7Gw899xzNrZQHVr6qr6+Hjk5OW3//ioqKhxoqTNqamowZcoUZGZmory8\nvMtrli1bhsmTJ2PatGn46quvbG6hGmL105YtWzB16lRMnToV//zP/4w//elPDrRSDVo+UwBw8OBB\njBgxAtu3b4/9okIRK1euFOXl5UIIIcrKysTPf/7zqGtOnDghJk6cKJqamoQQQjz//PNi06ZNtrZT\nBVr6Sggh/uVf/kV89NFHQgghmpubRWNjo21tVIHWfhJCiHXr1okXXnhBPPvss3Y1Tyla+qqhoUEc\nPnxYCCHEhQsXxOTJk8XRo0dtbacTWlpaxKRJk8SJEydEOBwWU6dOjXrfu3btErm5uUIIIQ4cOCCe\neOIJJ5rqKC39tH//fnH+/HkhhBC7d++Oy34SQltfRa7LyckRCxcuFNu2bYv5usqM0FkXXjstfXXh\nwgXU1dXh8ccfBwD06dMH1113na3tdJqWfgJaR567d+/GE088YWfzlKKlrwYOHIg77rgDANCvXz+k\npKSgoaHB1nY64eDBgxg+fDiGDh2KxMREZGVlobq6usM11dXVmD59OgDg7rvvRmNjY5cVNr1MSz+N\nHDmy7UTOkSNHIhQKOdFUx2npKwB47733kJmZ2WXRtq4oE9D11oVPS0uDz+eLy7rwWvrqxIkTuPHG\nG/HKK68gOzsbxcXFuHTpkt1NdZSWfgKAFStW4OWXX+6ydHG80NpXESdOnMCRI0fw4x//2I7mOSoU\nCmHIkCFtv/f7/VEPMg0NDRg8eHCHa+ItWGnpp/Y+/PBDpKWl2dE05Wjpq1AohB07duDpp5/W/Lqm\nKsXp5VRdeDcy21eXL1/G4cOHsWTJEqSmpmL58uUoLy9HYWGhJe11itl+2rVrF5KTk3HHHXfg97//\nvSVtVIXZvoq4ePEiCgsLsXjxYvTr109qGyk+1NbWYuPGjVi/fr3TTVHWihUr8NJLL7X9XmgoGWNr\nQHeqLrwbme2rwYMHY/DgwW1ldjMzM/H2229b1l6nmO2nffv24fPPP8fu3bvR1NSEixcv4uWXX8bK\nlSutbLYjzPYV0PqgWFhYiGnTpmHSpElWNVUpfr8fp06davt9KBSKWuobNGhQh4Ok6uvr4ff7bWuj\nCrT0EwAcOXIES5Yswdtvv43rr7/eziYqQ0tfHTp0CEVFRRBC4Ntvv0VNTQ369OnTZYn1CGWm3CN1\n4QH0WBf+yy+/RFNTE4QQqK2tRUpKit1NdZyWvkpOTsaQIUPwl7/8BQDisq+09NPPfvYz7Nq1C9XV\n1Vi1ahXuu+8+TwbzWLT0FQAsXrwYt956K5555hk7m+eo1NRUHDt2DCdPnkQ4HMbWrVuj+icjIwOf\nfPIJAODAgQPo379/2xJGvNDST6dOnUJhYSFWrlyJW265xaGWOk9LX1VXV6O6uhqff/45pkyZgkAg\n0GMwBxQK6Lm5udizZw8yMzNRW1uLhQsXAmhdm3r22WcBAD/60Y8wbdo0PPbYY5g6dSqEEHjyySed\nbLYjtPQVALz22mt48cUXMW3aNBw5ciTuUrK09hNp66u9e/diy5YtqK2txfTp05GdnY2amhonm22L\n3r17o7i4GPPmzcMjjzyCrKwspKSkoKqqChs2bAAApKenY9iwYXjooYewZMkSBAIBh1ttPy39tGbN\nGpw7dw4lJSWYPn06ZsyY4XCrnaGlr4xgLXciIiIPUGaETkRERMYxoBMREXkAAzoREZEHMKATERF5\nAAM6ERGRBzCgExEReQADOhERkQcwoBMREXnA/wfvUUlPGBXmLQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6b72b1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotData(X3, y3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6emG/e/LGb7B/++23MWbMGMyfPx/Dhw9HSUmJ8++WL1+u+eCIyDsxKxauJXGj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\ngPLkby4LNAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x69a81650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of support vectors:  78\n"
     ]
    }
   ],
   "source": [
    "clf3 = SVC(C=1.0, kernel='poly', degree=3, gamma=10)\n",
    "clf3.fit(X3, y3.ravel())\n",
    "plot_svc(clf3, X3, y3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Spam classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 1899 entries, 0 to 1898\n",
      "Data columns (total 2 columns):\n",
      "0    1899 non-null int64\n",
      "1    1899 non-null object\n",
      "dtypes: int64(1), object(1)\n",
      "memory usage: 37.1+ KB\n"
     ]
    }
   ],
   "source": [
    "data4 = pd.read_table('data/vocab.txt', header=None)\n",
    "data4.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   0      1\n",
       "0  1     aa\n",
       "1  2     ab\n",
       "2  3   abil\n",
       "3  4    abl\n",
       "4  5  about"
      ]
     },
     "execution_count": 172,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data4.head()"
   ]
  }
 ],
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